Question : The ratio of sand to stone in a mixture is 5 : 8 while that between stone and cement is 32 : 35. What is the ratio of sand to cement in the mixture?
Option 1: 4 : 3
Option 2: 1 : 7
Option 3: 2 : 3
Option 4: 4 : 7
Correct Answer: 4 : 7
Solution :
Given: The ratio of sand to stone in a mixture is 5 : 8 while that between stone and cement is 32 : 35.
The ratio of sand to stone = 5 : 8 = (5 × 4) : (8 × 4) = 20 : 32
So, the ratio of sand, stone, and cement = 20 : 32 : 35
Therefore, the ratio of sand to cement = 20 : 35 = 4 : 7
Hence, the correct answer is 4 : 7.
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